Global boundedness of moments of solutions of the Boltzmann equation for forces of infinite range

✍ Scribed by T. Elmroth

• Publisher: Springer
• Year: 1983
• Tongue: English
• Weight: 432 KB
• Volume: 82
• Category: Article
• ISSN: 0003-9527
• DOI: 10.1007/bf00251722

✦ Synopsis

This paper proves the global boundedness in time of higher moments to a weak solution of the non-linear space-homogeneous Boltzmann equation for inverse kth-power forces with k ~ 5. In the course of the proof a new collisional '~ --v ~ ~ is obtained, where v, v, are the velocities before estimate of v '~ -k v, --v, t and v', v, are the velocities after a binary collision.